Orateur
Daniel Thompson
Description
In this talk I will present an overview of classes of integrable deformations to sigma models known as lambda and eta deformations. I explain the interesting interplay of the these models with generalisations of T-duality involving both non-Abelian isometries and Poisson-Lie symmetry. I will report on recent work considering the quantum aspects of multi-parameter integrable deformations. For the lambda-XXZ model I shall explain how we can implement its quantisation on a light cone lattice as the Heisenberg XXZ spin chain in the gapless regime. For the eta theory with a WZ term we will discuss aspects of its renormalisation and show how it exhibits an interesting self duality under Poisson-Lie symmetries.